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Lectures |
Sections in Text |
Brief Description |
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Day 1: 1/05 |
10.1, 10.2 |
General DEs, models,
direction fields (skip Euler's method) |
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Day 2: 1/07 |
10.3, 10.4 |
Separable equations (skip
orthogonal trajectories), exponential growth |
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Day 3: 1/09 |
8.1, 10.6 |
Integration by parts, first
order linear differential equations |
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Day 4: 1/12 |
10.6, Appendix G |
First Order Linear DE
applications, Complex Numbers |
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Day 5: 1/14 |
Appendix G, 18.1 |
Complex Numbers, Second
order linear DEs |
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Day 6: 1/16 |
18.1 |
Second order linear DEs
(cont.) |
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1/16 |
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Last day to add/drop |
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1/19 MLK Day |
No classes |
Monday classes moved to
x-hours |
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Day 7: x-hour |
18.3 |
Applications of second-order
linear DEs (skipped forced vibrations and electric circuits) |
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Day 8: 1/21 |
12.1, 12.2 |
Basics about sequences and
series; geometric series |
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Day 9: 1/23 |
12.8, 12.9 |
Power Series; Representing
functions as power series |
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Day 10: 1/26 |
12.10 |
Taylor Series |
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Day 11: 1/28 |
12.10 |
Taylor Series Error
Estimates |
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Day 12: 1/30 |
13.1, 13.2 |
Three dimensional
coordinate systems, vectors |
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2/02 evening |
|
First Midterm Exam 4:00 --
6:00 pm |
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Day 13: 2/02 |
13.3 |
Dot products |
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Day 14: 2/04 |
13.4 |
Cross products |
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Day 15: 2/06 |
13.5 |
Equations of lines |
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Day 16: 2/09 |
13.5 |
Equations of planes |
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Day 17: 2/11 |
14.1, 14.2 |
Vector functions and space
curves, derivatives of space curves |
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Day 18: 2/13 |
14.3, 14.4 |
Arc length (Skip binormal),
velocity and acceleration (Skip Kepler) |
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Day 19: 2/16 |
15.1, 15.2 |
Functions of several
variables, limits, continuity |
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Day 20: 2/18 |
15.3 |
Partial derivatives (skip
Cobb-Douglas function) |
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Day 21: 2/20 |
15.4 |
Tangent planes and
approximation |
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Day 22: 2/23 |
15.5 |
Chain Rule |
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2/23 evening |
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Second Midterm Exam 4:00 --
6:00 pm |
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2/24 |
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Last day to drop |
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Day 23: 2/25 |
15.6 |
Directional derivative and
the gradient |
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Day 24: 2/27 |
15.6 |
Directional derivatives,
gradient (cont’d) |
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Day 25: 3/01 |
15.7 |
Maxima and minima |
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Day 26: 3/03 |
15.7 |
Maxima and minima (cont.) |
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Day 27: 3/05 |
15.8 |
Lagrange multipliers |
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Day 28: 3/08 |
15.8 |
Lagrange multipliers (cont.),
Loose ends, questions, etc. |
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3/09 |
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Last Day of Winter Term |